Find an equation of the circle that passes through points (6,3) and (-4,-3) and has its center on line y-2x-7.

Step-by-step explanation:

We can use the general formula method:

We substitute point 1 (6,3) into the equation:

We substitute point 2 into the equation

We know that he centre is (-g,-f) and we substitute it into equation y-2x-7=0

We have 3 equations and we have 3 unknowns. We can eliminate c by subtracting the first two equations:

now we can solve in terms of f and g:

into the above equation:

Solve for g:

f is

Therefore c is:

The equation of the circle is:

it is a. 4.2 because 7.6-3.4 gets the remaining length of 4.2. i might be wrong but i am pretty sure this is the answer.

a

step-by-step explanation: